Abstract
This paper presents the development of numerical methods for
modeling non-equilibrium condensing flows in steam turbines.
The method is within Eulerian-Eulerian Framework. A Roe
convective flux is derived, which is featured on using real steam
property and fully coupling wetness fraction with other
conservative variables in the Jacobian matrix. The analytical
expressions of eigenvalue, right and left side eigenvectors are
derived. The real steam property treatment is enlightened by the
two-dimensional TTSE method, and the current paper extended it
to three dimensions which exhibits great convenience for
Eulerian-Eulerian Framework.
Quadrature Method of Moments (QMOM) is implemented to
model polydisperse droplet spectrum. To overcome instable issues
caused by moment corruption, which is inevitable during steady
state time marching, a correction scheme for moments is applied.
Example calculations on nozzles and a turbine cascade are
provided. Results show that the current model is robust and correct.
QMOM is capable of representing the polydisperse droplet
spectrum. Correction schemes play a crucial role for the stability
and accuracy of QMOM.